1又1/6+2又1/12+3又1/20+4又1/30+5又1/42+6又1/56+7又1/72 急

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 19:39:44
1又1/6+2又1/12+3又1/20+4又1/30+5又1/42+6又1/56+7又1/72 急

1又1/6+2又1/12+3又1/20+4又1/30+5又1/42+6又1/56+7又1/72 急
1又1/6+2又1/12+3又1/20+4又1/30+5又1/42+6又1/56+7又1/72 急

1又1/6+2又1/12+3又1/20+4又1/30+5又1/42+6又1/56+7又1/72 急
1又1/6+2又1/12+3又1/20+4又1/30+5又1/42+6又1/56+7又1/72
=(1+2+3+4+5+6+7)+(1/2-1/3+1/1-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9)
=28+1/2-1/9
=28又 7/18

1又1/6+2又1/12+3又1/20+4又1/30+5又1/42+6又1/56+7又1/72
=1+2+3+4+5+6+7+(1/6+1/12+……1/72)
=28+(1/2-1/3+1/3-1/4+……+1/8-1/9)
=28+(1/2-1/9)
=28+7/18
=2又7/18

1+1/6+2+1/12+3+1/20+4+1/30+5+1/42+6+1/56+7+1/72=1+2+3+4+5+6+7+(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9)=28+7/18

7/6+25/12+61/20+121/30+211/42+337/56+505/72=511/18=28又7/18

用分式裂解项:
原式=(1+2+...+7)+(1/6+1/12+...+1/72)
=(1+7)*7/2+(1/2-1/3+1/3-1/4+...+1/8-1/9)
=28+(1/2-1/9)
=28+7/18
=28又7/18

=(1+2+3+4+5+6+7)+(1/2×3+1/3×4+1/4×5+1/5×6+1/6×7+1/7×8+1/8×9)
=28+(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9)
=28+(1/2-1/9)
=28又7/18

1+2+3+。。。+7+1/2-1/3+1/3-1/4+...1/8-1/9=28+7/18

1+1/6+2+1/12+3+1/20+4+1/30+5+1/42+6+1/56+7+1/72=1+2+3+4+5+6+7+(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9)=28又7/18

1+2+3+4+5+6+7 +1/6+1/12+1/20+1/30+1/42+1/56+1/72
=28+1/2*3+1/3*4+......1/8*9
=28+1/2-1/3+1/3-1/4+............-1/8+1/8-1/9
=28+1/2-1/9
=28+7/18
具体结果看你如何写

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